Properties of the Number 6718

Six Thousand Seven Hundred Eighteen

Basics

Value: 6717 → 6718 → 6719

Parity: even

Prime: No

Previous Prime: 6709

Next Prime: 6719

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 3359

Divisors: 1, 2, 3359, 6718

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101000111110

Octal: 15076

Duodecimal: 3A7A

Hexadecimal: 1a3e

Square: 45131524

Square Root: 81.96340646898469

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of compositions of n such that every distinct consecutive subsequence has a different sum. A325676

Triangle read by rows: row n is the first row of the matrix M[n]^n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (2,4,4,...) and super- and subdiagonals (1,1,1,...). A124575

Poincaré series for invariant polynomial functions on the space of binary forms of degree 12. A293937

T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or zero plus the sum of the elements antidiagonally to its northeast, modulo 4. A241306

Numbers whose least quadratic nonresidue (A020649) is 11. A25024

Number of distinct circles that can be constructed from an n X n square grid of points when each pair of points is connected by a circle and the points lie at the ends of a diameter of the circle. A360350

Number of non-constant integer partitions of n whose length and maximum both divide n. A326852

Triangle T(n,k) = 1 - A176304(k) - A176304(n-k) + A176304(n), read by rows. A176306

Number of partitions p of n such that (maximal multiplicity of the parts of p) <= (number of distinct parts of p). A240306

G.f.: ∑_n>=0 xⁿ * ∑_k=0..n binomial(n,k)² * x^k/(1-3·x)^k. A217665